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Finding the Fourth Proportional to 5,813.24, 8,726.00 and 3,623.47

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Solution

The fourth proportional to 5,813.24, 8,726.00 and 3,623.47 is: 5,439.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.24 : 8,726.00 = 3,623.47 : x
  2. Step 2: Convert to fraction form
    5,813.24/8,726.00 = 3,623.47/x
  3. Step 3: Cross multiply
    5,813.24x = 8,726.00 × 3,623.47
  4. Step 4: Simplify right side
    5,813.24x = 31,618,359.29
  5. Step 5: Solve for x
    x = 31,618,359.29/5,813.24
  6. Step 6: Final answer
    x = 5,439.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.